NEW GENERAL DECAY RESULT FOR A FOURTH-ORDER MOORE-GIBSON-THOMPSON EQUATION WITH MEMORY

被引：17

作者：

Liu, Wenjun ^{[1
]}

Chen, Zhijing ^{[1
]}

Tu, Zhiyu ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2020年 / 28卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Well-posedness; general decay; Moore-Gibson-Thompson equation; energy method; VISCOELASTIC WAVE-EQUATION; THERMOELASTICITY; BEHAVIOR; RATES;

D O I：

10.3934/era.2020025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the fourth-order Moore-GibsonThompson equation with memory recently introduced by (Milan J. Math. 2017, 85: 215-234) that proposed the fourth-order model. We discuss the well-posedness of the solution by using Faedo-Galerkin method. On the other hand, for a class of relaxation functions satisfying g' (t) <= -xi(t)M(g(t)) for M to be increasing and convex function near the origin and (t) to be a non-increasing function, we establish the explicit and general energy decay result, from which we can improve the earlier related results.

引用

页码：433 / 457

页数：25

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